Lots of nonsense in this movie
1. An old recording of his mother tells him that he has to give up his powers to be with a human woman? Why? And why wouldn't Superman just ignore that arbitrary "rule" from his long-dead mother? It is not as if it can be enforced, since he had to voluntarily step into the chamber.
2. Where did those random powers come from, such as the "finger beam", telekinesis, teleporting, and amnesia-inducing kisses?
3. So Kent, despite being 6' 4" and weighing 225 pounds, can get molly whopped by a shorter, lighter, older guy without being able to defend himself in the slightest?
4. The Kryptonians wouldn't be able to send each other flying with punches, kicks, etc., because they would all be on a similar playing field. Superman would be stronger than Zod, way stronger than Ursa, and perhaps a bit weaker than Non. If it were possible for Ursa to throw a manhole cover hard enough to send Superman flying backwards, it would have sent her flying backwards even more when she threw it; equal and opposite reaction and all that.
5. How is it that the Phantom Zone is anywhere near Earth? In the first movie, Jor-El said that thousands of years had passed since the destruction of Krypton, and since Kent didn't age much on his trip to Earth, that means he was traveling in his ship at close enough to light speed for time to slow down drastically for him. Zod and company were placed in that sheet of glass thing on Krypton and then just sort of set adrift in space. They should still be thousands of light years from Earth, which isn't even close to being close to being close to being close, etc., to being in range of a near-Earth explosion.
6. You can touch fire / fiery hot surfaces briefly without being [visibly] burned.
Those things are on top of the nonsense that applies to Superman in general, i.e., anyone who knows Clark Kent, upon meeting Superman face-to-face for the first time, would obviously recognize him as Clark Kent immediately.